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And the unknown lights in the right triangle if necessary approach me to life to the nearest thousandth

And The Unknown Lights In The Right Triangle If Necessary Approach Me To Life To The Nearest Thousandth class=

Sagot :

ANSWER

The third side of the triangle is 22.361 km

STEP-BY-STEP EXPLANATION:

Given information

The image given is a right-angled triangle

The perpendicular side = 10km

The adjacent side = 20km

To find the third side of the triangle, we will need to apply Pythagora's theorem

[tex]\text{Hypotenuse}^2=opposite^2+adjacent^2[/tex]

Let the hypotenuse be x

[tex]\begin{gathered} x^2=10^2+20^2 \\ x^2\text{ = 100+ 400} \\ x^2\text{ = 500} \\ \text{Take the sqyare roots of both sides} \\ x\text{ = }\sqrt[]{500} \\ x\text{ = 22.361 }km \end{gathered}[/tex]

Therefore, the third side of the triangle is 22.361 km